document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205115>Question 1205115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mia invests $2,000 in a money market account that earns 5% annual interest, compounded continuously. Approximately how many years will it take her money to grow to the $4,500 she needs for her small business start-up? (Round your answer to one decimal place.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841752 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "This formula says, when an amount<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P ALIGN=MIDDLE  ALT=\"+P\"   DISABLED_style= \"max-width:90%; height:auto;\" > is invested for the time '<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >' with the interest rate is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" >% compounded continuously, then the final amount is, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+P+%2Ae%5E%28rt%29 ALIGN=MIDDLE  ALT=\"A+=+P+%2Ae%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The initial amount is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+2000 ALIGN=MIDDLE  ALT=\"P+=+2000\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The interest rate is, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+5 ALIGN=MIDDLE  ALT=\"r+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >% = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F100+=+0.05 ALIGN=MIDDLE  ALT=\"5%2F100+=+0.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The amount after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+ ALIGN=MIDDLE  ALT=\"t+\"   DISABLED_style= \"max-width:90%; height:auto;\" >years =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4500 ALIGN=MIDDLE  ALT=\"4500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Time is, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >=?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4500+=+2000%2A+e%5E%280.05t%29 ALIGN=MIDDLE  ALT=\"4500+=+2000%2A+e%5E%280.05t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4500%2F2000=e%5E%280.05t%29 ALIGN=MIDDLE  ALT=\"4500%2F2000=e%5E%280.05t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%280.05t%29=9%2F4 ALIGN=MIDDLE  ALT=\"e%5E%280.05t%29=9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >....take natural log of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%280.05t%29%29=ln%289%2F4%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%280.05t%29%29=ln%289%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.05t%29ln%28e%29=ln%289%29-ln%284%29 ALIGN=MIDDLE  ALT=\"%280.05t%29ln%28e%29=ln%289%29-ln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%29=1 ALIGN=MIDDLE  ALT=\"ln%28e%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05t=2.19722-1.386294361 ALIGN=MIDDLE  ALT=\"0.05t=2.19722-1.386294361\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05t=0.810925639 ALIGN=MIDDLE  ALT=\"0.05t=0.810925639\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0.810925639%2F0.05 ALIGN=MIDDLE  ALT=\"t=0.810925639%2F0.05\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=16.2 ALIGN=MIDDLE  ALT=\"t=16.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "it will take her <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16.2 ALIGN=MIDDLE  ALT=\"16.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > years for money to grow to the $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4500+ ALIGN=MIDDLE  ALT=\"4500+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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